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Hermitian matrix. 2. Specification
"... nag complex cholesky (f01bnc) nag complex cholesky (f01bnc) computes a Cholesky factorization of a complex positivedefinite ..."
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nag complex cholesky (f01bnc) nag complex cholesky (f01bnc) computes a Cholesky factorization of a complex positivedefinite
Consider the eigenvalue problem for Hermitian matrix Ã...
"... This paper is concerned with the perturbation of a multiple eigenvalue µ of the Hermitian matrix A = diag(µI, A22) when it undergoes an offdiagonal ..."
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This paper is concerned with the perturbation of a multiple eigenvalue µ of the Hermitian matrix A = diag(µI, A22) when it undergoes an offdiagonal
Asymptotic analysis of a hermitian matrix integral
 International Journal of Mathematics
, 1995
"... Abstract. The asymptotic expansion of a Hermitian matrix integral known as the Penner model is rigorously calculated. 1. Introduction. The purpose of this paper is to establish an asymptotic analysis of a Hermitian matrix integral known as the Penner model, and to calculate its asymptotic expansion. ..."
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Cited by 17 (14 self)
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Abstract. The asymptotic expansion of a Hermitian matrix integral known as the Penner model is rigorously calculated. 1. Introduction. The purpose of this paper is to establish an asymptotic analysis of a Hermitian matrix integral known as the Penner model, and to calculate its asymptotic expansion
Hermitian Matrix Model with Plaquette Interaction
"... We study a hermitian (n+1)matrix model with plaquette interaction, P n i=1 MA i MA i . By means of a conformal transformation we rewrite the model as an O(n) model on a random lattice with a non polynomial potential. This allows us to solve the model exactly. We investigate the critical properties ..."
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Cited by 8 (0 self)
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We study a hermitian (n+1)matrix model with plaquette interaction, P n i=1 MA i MA i . By means of a conformal transformation we rewrite the model as an O(n) model on a random lattice with a non polynomial potential. This allows us to solve the model exactly. We investigate the critical
Bulk Universality and Related Properties of Hermitian Matrix Models
, 2007
"... We give a new proof of universality properties in the bulk of spectrum of the hermitian matrix models, assuming that the potential that determines the model is globally C 2 and locally C 3 function (see Theorem 3.1). The proof as our previous proof in [21] is based on the orthogonal polynomial techn ..."
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Cited by 36 (1 self)
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We give a new proof of universality properties in the bulk of spectrum of the hermitian matrix models, assuming that the potential that determines the model is globally C 2 and locally C 3 function (see Theorem 3.1). The proof as our previous proof in [21] is based on the orthogonal polynomial
Perturbations of the Eigenprojections of a Factorised Hermitian Matrix
, 1992
"... We give the perturbation bounds for the eigenpro jections of a Hermitian matrix H = GJG , where G has a full column rank and J is nonsingular, under the perturbations of the factor G. Our bounds hold, for example, when G is given with elementwise relative error. Our bounds contain relative gaps b ..."
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Cited by 4 (1 self)
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We give the perturbation bounds for the eigenpro jections of a Hermitian matrix H = GJG , where G has a full column rank and J is nonsingular, under the perturbations of the factor G. Our bounds hold, for example, when G is given with elementwise relative error. Our bounds contain relative gaps
Relative Perturbation Bound for Invariant Subspaces of Hermitian Matrix
 Linear Algebra Appl
, 1998
"... We give bound for the perturbations of invariant subspaces of nonsingular Hermitian matrix H under relative additive perturbations of H. Such perturbations include the case when the elements of H are known up to some relative tolerance. Our bound is, in appropriate cases, sharper than the classi ..."
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Cited by 2 (1 self)
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We give bound for the perturbations of invariant subspaces of nonsingular Hermitian matrix H under relative additive perturbations of H. Such perturbations include the case when the elements of H are known up to some relative tolerance. Our bound is, in appropriate cases, sharper than
Results 1  10
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1,591